document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237429>Question 237429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you solve the problem below using Cramer's Rule:\r<BR>\n" );
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document.write( "x+3y=-4<BR>\n" );
document.write( "y+x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174678 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would you solve the problem below using Cramer's Rule:\r<BR>\n" );
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document.write( "x+3y=-4<BR>\n" );
document.write( "y+x=0\r<BR>\n" );
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document.write( "First switch x and y for y + x = 0.\r<BR>\n" );
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document.write( "x + 3y = -4<BR>\n" );
document.write( "x + y = 0\r<BR>\n" );
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document.write( "We need the discriminant D, the discriminant of x written Dx and the discriminant of y written Dy.\r<BR>\n" );
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document.write( "D = 1 x 1 - 1 x 3\r<BR>\n" );
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document.write( "D = 1 - 3\r<BR>\n" );
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document.write( "D = -2\r<BR>\n" );
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document.write( "We now find Dx.\r<BR>\n" );
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document.write( "Dx = -4 x 1 - 0 x 3\r<BR>\n" );
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document.write( "Dx = -4 - 0\r<BR>\n" );
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document.write( "Dx = -4\r<BR>\n" );
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document.write( "We now find Dy.\r<BR>\n" );
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document.write( "Dy = -4 x 1 - 1 x 0\r<BR>\n" );
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document.write( "Dy = -4 - 0\r<BR>\n" );
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document.write( "Dy = -4\r<BR>\n" );
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document.write( "We now divided Dx and Dy by D individually.\r<BR>\n" );
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document.write( "Dx/D = x coordinate.\r<BR>\n" );
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document.write( "Dy/D = y coordinate.\r<BR>\n" );
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document.write( "x = -4/-2\r<BR>\n" );
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document.write( "x = 2.\r<BR>\n" );
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document.write( "y = -4/-2\r<BR>\n" );
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document.write( "y = 2\r<BR>\n" );
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document.write( "The solution to this system of linear equations in two variables is the point<BR>\n" );
document.write( "(2, 2).\r<BR>\n" );
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document.write( "At that point, both equations cross each other.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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